This book presents prime numbers in a beginner-friendly way, offering detailed proofs, definitions, examples, and exercises on key theorems and concepts. Each chapter includes exercises designed to reinforce and practice the concepts of prime numbers. The book introduces prime and composite numbers, covering primality tests and the Sieve of Eratosthenes. It formalizes prime factorization as tuples and presents a straightforward method for finding the prime factorization of integers. The book also explains how to determine ...
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This book presents prime numbers in a beginner-friendly way, offering detailed proofs, definitions, examples, and exercises on key theorems and concepts. Each chapter includes exercises designed to reinforce and practice the concepts of prime numbers. The book introduces prime and composite numbers, covering primality tests and the Sieve of Eratosthenes. It formalizes prime factorization as tuples and presents a straightforward method for finding the prime factorization of integers. The book also explains how to determine the GCD and LCM of a set of numbers using their prime factorizations. Through detailed examples, we illustrate the Sieve of Eratosthenes for identifying prime numbers. We establish the infinitude of primes with several proofs, including Euclid's famous argument. The book discusses Mersenne and Fermat primes, along with significant conjectures such as the twin prime conjecture, Goldbach's conjecture, and the Mersenne prime conjecture. We also cover primes in arithmetic progression and applications of Dirichlet's theorem. Finally, we explore the distribution of primes using Bertrand's postulate, the prime-counting function, and the prime number theorem. Here are some of the topics you will learn: prime and composite numbers primality test sieve of Eratosthenes prime factorization infinitude of primes Mersenne primes Fermat primes Goldbach conjecture twin prime conjecture prime number theorem Bertrand's postulate (Chebyshev's theorem)
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Add this copy of Prime Numbers to cart. $12.87, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2024 by Independently Published.
Add this copy of Prime Numbers to cart. $17.88, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2024 by Independently Published.
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Fine. Trade paperback (US). Glued binding. 98 p. Proofs in Number Theory, 6. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Prime Numbers to cart. $18.06, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2024 by Independently Published.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Trade paperback (US). Glued binding. 98 p. Proofs in Number Theory, 6. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Prime Numbers (Proofs in Number Theory) to cart. $35.01, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2024 by Independently published.
Add this copy of Prime Numbers (Proofs in Number Theory) to cart. $59.17, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2024 by Independently published.
